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Here's a little test I try on LLMs. So far only O1 and Microsoft Copilot (bing chat) was able to solve it: Find a, b, c distinct positive integers satisfying a
by reverseblade2 2y ago
Here's a little test I try on LLMs. So far only O1 and Microsoft Copilot (bing chat) was able to solve it:
Find a, b, c distinct positive integers satisfying a^3 + b^3 = c^4. Hint: try dividing all sides by c^3, then giving values to (a/c) and (b/c).
- zeroonetwothree 2y agoAny integer that is a sum of 2 cubes produces a solution. Since if x^3 + y^3 = z then we have (xz)^3 + (yz)^3 = z^4. So this doesn't seem super interesting?